True, although, I do have to say that personally, when helping clients find referrals, I’m suspicious when a clinician doesn’t have a website that provides basic info about their theoretical background, areas of expertise, educational background, etc. I Google search my colleagues and visit their websites a lot when giving their info to folks for referrals, and I think clients appreciate being able to get to know the psychologist a bit before the consult—putting a face to a name and getting to read about their practice philosophy, as well.
OP, I’d encourage it for any psychologist in private practice if not because it’s just another way to share info about yourself before the consult (some people might see your website and think “that really isn’t sounding like a good fit,” and save both of you the time and trouble, or someone might read about your philosophy and think you’d be a great fit and proceed with a call). Another timesaver with a website is posting your fees and insurance status online for those who are on a budget or fixed income and/or need insurance—some psychologists make you call first to hear the rate, but you won’t be negotiating or bargaining your rate like a tourist in an outdoor flea market, so why hide your rates from the public?